4(a+3)-(a+2)=13

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Solution for 4(a+3)-(a+2)=13 equation:


Simplifying
4(a + 3) + -1(a + 2) = 13

Reorder the terms:
4(3 + a) + -1(a + 2) = 13
(3 * 4 + a * 4) + -1(a + 2) = 13
(12 + 4a) + -1(a + 2) = 13

Reorder the terms:
12 + 4a + -1(2 + a) = 13
12 + 4a + (2 * -1 + a * -1) = 13
12 + 4a + (-2 + -1a) = 13

Reorder the terms:
12 + -2 + 4a + -1a = 13

Combine like terms: 12 + -2 = 10
10 + 4a + -1a = 13

Combine like terms: 4a + -1a = 3a
10 + 3a = 13

Solving
10 + 3a = 13

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + 3a = 13 + -10

Combine like terms: 10 + -10 = 0
0 + 3a = 13 + -10
3a = 13 + -10

Combine like terms: 13 + -10 = 3
3a = 3

Divide each side by '3'.
a = 1

Simplifying
a = 1

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